%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEV405^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:24:54 EDT 2023

% Result   : Theorem 3.58s 3.75s
% Output   : Proof 3.58s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEV405^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 03:18:36 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.58/3.75  SZS status Theorem for theBenchmark.p
% 3.58/3.75  SZS output start Proof for theBenchmark.p
% 3.58/3.75  Clause #0 (by assumption #[]): Eq (Not (Exists fun U => ∀ (V : Iota), Iff (U V) cA)) True
% 3.58/3.75  Clause #1 (by clausification #[0]): Eq (Exists fun U => ∀ (V : Iota), Iff (U V) cA) False
% 3.58/3.75  Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop), Eq (∀ (V : Iota), Iff (a V) cA) False
% 3.58/3.75  Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (Not (Iff (a (skS.0 0 a a_1)) cA)) True
% 3.58/3.75  Clause #4 (by clausification #[3]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (Iff (a (skS.0 0 a a_1)) cA) False
% 3.58/3.75  Clause #5 (by clausification #[4]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (a (skS.0 0 a a_1)) False) (Eq cA False)
% 3.58/3.75  Clause #6 (by clausification #[4]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (a (skS.0 0 a a_1)) True) (Eq cA True)
% 3.58/3.75  Clause #10 (by fluidSup #[5, 5]): ∀ (a : Prop), Or (Eq cA False) (Or (Eq ((fun _ => a) False) False) (Eq cA False))
% 3.58/3.75  Clause #17 (by betaEtaReduce #[10]): ∀ (a : Prop), Or (Eq cA False) (Or (Eq a False) (Eq cA False))
% 3.58/3.75  Clause #18 (by eliminate duplicate literals #[17]): ∀ (a : Prop), Or (Eq cA False) (Eq a False)
% 3.58/3.75  Clause #24 (by equality factoring #[6]): Or (Ne True True) (Eq cA True)
% 3.58/3.75  Clause #43 (by clausification #[24]): Or (Eq cA True) (Or (Eq True False) (Eq True False))
% 3.58/3.75  Clause #45 (by clausification #[43]): Or (Eq cA True) (Eq True False)
% 3.58/3.75  Clause #46 (by clausification #[45]): Eq cA True
% 3.58/3.75  Clause #47 (by superposition #[46, 18]): ∀ (a : Prop), Or (Eq True False) (Eq a False)
% 3.58/3.75  Clause #53 (by clausification #[47]): ∀ (a : Prop), Eq a False
% 3.58/3.75  Clause #55 (by falseElim #[53]): False
% 3.58/3.75  SZS output end Proof for theBenchmark.p
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